Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces

Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces

The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point result...

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Main Authors: W. Sintunavarat, P. Kumam
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/923458
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spelling doaj-e15bfb838bc748eea6f1e78bd8aac6cb2020-11-25T00:59:35ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/923458923458Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric SpacesW. Sintunavarat0P. Kumam1Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, ThailandThe concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors.http://dx.doi.org/10.1155/2011/923458
collection DOAJ
language English
format Article
sources DOAJ
author W. Sintunavarat
P. Kumam
spellingShingle W. Sintunavarat
P. Kumam
Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces
International Journal of Mathematics and Mathematical Sciences
author_facet W. Sintunavarat
P. Kumam
author_sort W. Sintunavarat
title Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces
title_short Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces
title_full Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces
title_fullStr Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces
title_full_unstemmed Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces
title_sort gregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2011-01-01
description The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors.
url http://dx.doi.org/10.1155/2011/923458
work_keys_str_mv AT wsintunavarat gregustypecommonfixedpointtheoremsfortangentialmultivaluedmappingsofintegraltypeinmetricspaces
AT pkumam gregustypecommonfixedpointtheoremsfortangentialmultivaluedmappingsofintegraltypeinmetricspaces
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